We discuss the possibilities of producing the X(3872), which is assumed to be a D (D) over bar* bound state, in radiative decays of charmonia. We argue that the ideal energy regions to observe the X(3872) associated with a photon in e(+)e(-)-annihilations are around the. Y(4260) mass and around 4.45 GeV, due to the presence of the S-wave D (D) over bar (1) (2420) and D*(D) over bar (1) (2420) threshold, respectively. Especially, if the Y(4260) is dominantly a D (D) over bar (1) molecule and the X(3872) a DD* molecule, the radiative transition strength will be quite large. (C) 2013 Elsevier B.V. All rights reserved.